Angles – Part 2 33 22 11 Converting Radians, Degrees & Degrees/Minutes/Seconds Circular Arcs Practice Problems.

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Presentation transcript:

Angles – Part Converting Radians, Degrees & Degrees/Minutes/Seconds Circular Arcs Practice Problems

Converting Between Radians and Degrees To ChangeMultiply byExample 2

Converting Decimal Degrees to Degrees/Minutes/Seconds D˚ M’ S” = D˚ + ˚ + ˚ Example: Convert 19˚ 47’ 23” to decimal degrees. 3

Converting Radians to Degrees/Minutes/Seconds  Convert radians to decimal degrees  Non-decimal portion is in degrees  Multiply decimal portion by 60’  Non-decimal portion is minutes  Multiply decimal portion by 60” & round  Seconds 4

Converting Radians to Degrees/Minutes/Seconds (Cont.) Example: If Q =3 radians, approximate Q in terms of degrees/minutes/seconds. 5

Length of a Circular Arc 6

Example 7

Area of a Circular Arc 8

Example 9

Practice Problems  Page 409 Problems